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Finding the Fourth Proportional to 417,473.61, 576,167.93 and 233,782.14

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Solution

The fourth proportional to 417,473.61, 576,167.93 and 233,782.14 is: 322,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,473.61 : 576,167.93 = 233,782.14 : x
  2. Step 2: Convert to fraction form
    417,473.61/576,167.93 = 233,782.14/x
  3. Step 3: Cross multiply
    417,473.61x = 576,167.93 × 233,782.14
  4. Step 4: Simplify right side
    417,473.61x = 134,697,771,692.32
  5. Step 5: Solve for x
    x = 134,697,771,692.32/417,473.61
  6. Step 6: Final answer
    x = 322,649.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.